Criteria

Concept & Category Highest Level of Performance

Middle Level of Performance

Lowest Level of Performance

MANIPULATION - Prove that two functions are inverses by the process of working backwards (finding the inverse of a function and showing that it is the other function given)

- Determine that two functions are inverses by analyzing their respective graphs.

- Manipulating the function to find the inverse (switching x and y)

- Evaluating Functions at a given value

-Student demonstrates he knows the process of working backwards but makes an algebraic error in calculating it.

-Student knows to look at the points of each graph, but does not know how to compare the points.

-Student can switch x and y but makes arithmetic or algebraic error in finding the inverse.

Student demonstrates they know how to evaluate a function at a value but makes arithmetic or algebraic error.

-Student cannot demonstrate working backwards

-Student does not show ability to compare functions and their graphs.

-Student does not show the ability to switch x and y variables to find the inverse.

-Student does not show how to evaluate a function at a given value

UNDERSTANDING FUNCTIONS

Explain the relationship between the independent and dependent variables of a function.

-Recognize that a function and its inverse are not equivalent.

-Student knows the two terms, but mixes up what they are, interchanges the axes they are on in a graph, etc.

-Student demonstrates that the functions are not equivalent but uses the same notation for each ( f(x) for the function and its inverse),

-Student has no knowledge of what either type of variable is

-Student does not show that a function and its inverse are not equivalent.

GRAPHING -Using the horizontal and vertical line test to determine if a function and its inverse are in fact functions.

- Graphing functions and their inverse.

-Student knows to use a test but uses the incorrect one.

-Student has overall shape of graph but specifics are inaccurate (points, intercepts, etc.)

-Student does not show evidence that he can use either test for a function.

-Student shows no graphing ability.

FINAL PRESENTATION

-Group provides a clear and appealing Power Point or Poster Board showing their findings.

-All group members speak equally about their project and what they found

-Group has Power Point, but it is not coherent, unclear, and/or hard to see their findings.

-One or two members say nothing during the presentation.

-Group has no visual aide for presentation.

-Only one member of the group speaks about their findings.

-Presentation is thorough, showing the class all material (stats, points, rebounds, info on the players, function(s) relating stats of players, inverses of function(s), graph(s) )

-Presentation is missing one or two pieces of information

-Presentation is incomplete